In this page area of sector worksheet we are going to see 10 problems in the form of quiz.
Generally we are having two formulas to find area of any sector. We can use any either formula depending on the details given in the question.
Area of the sector = (θ/360) x Π r ² square units
(or) Area of the sector = (1/2) x l r square units
θ - central angle formed by the sector
L - length of arc
r - radius of the sector
We can use the first formula if the central angle(θ) formed by the sector and radius given. If the length of arc(L) is given we have to use the second formula only.
Question 1 :
Find the area of sector whose perimeter is 78 cm and central angle is 45°